Question

Consider the geometric sequence 1/64, 1/16, 1/4, 1, …. What is the common ratio?

Answer 1

Answer:

Identify the Sequence 1, 1/4, 1/16, 1/64 11, 1414, 116116, 164164 This is a geometric sequencesince there is a common ratiobetween each term. In this case, multiplying the previous termin the sequenceby 1414gives the next term.

Step-by-step explanation:

Answer 2

Answer:

4

Step-by-step explanation:

Sequence:

• 1/64, 1/16, 1/4, 1

Common ratio is the ratio between the next term and the previous term:

• 1/16 : 1/64 = 1/16 * 64 = 64/16 = 4

or

• 1/4 : 1/16 = 1/4 * 16 = 16/4 = 4

or

• 1: 1/4 = 1* 4 = 4